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My idea was to brake it into like.......sort of cylindrical shells. ones with that are very very short, like little wires making a hollow sphere.

I=int[(r^2)dm]

I=[M/(4pi(R^2))]int[(R^2-y^2)(2pi(R^2-y^2)^.5)dy]

I=[M/(2R^2)]int[(R^2-y^2)^(3/2)dy]

I am just in high school so I wont follow if you guys do anything like a double integral, so if there is a way around that, tell me that way. Thanks!